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Proof step 2 from proof Sep-distribute-true (previous step)

∀ nP, n. nP ⊗_(n, m0) * true = (λ n0. nP(n0) * true)⊗_(n, m0) * true ⊦ nP ⊗_(n, m0 +1) * true = (λ n0. nP(n0) * true)⊗_(n, m0 +1) * true

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 3:
∀ nP, n. nP ⊗_(n, m0) * true = (λ n0. nP(n0) * true)⊗_(n, m0) * true ⊦ nP ⊗_(n, m0 + 1) * true = (λ n0. nP(n0) * true)⊗_(n, m0 + 1) * true

Rule argument

Additional information

Used simplifier rules: ⊦ m +1 = m + 1; (s)